I don't know this please help no links Brainliest
1 answer:
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Givens
y = 2
x = 1
z(the hypotenuse) = √(2^2 + 1^2) = √5
Cos(u) = x value / hypotenuse = 1/√5
Sin(u) = y value / hypotenuse = 2/√5
Solve for sin2u
Sin(2u) = 2*sin(u)*cos(u)
Sin(2u) = 2() = 4/5
Solve for cos(2u)
cos(2u) = - sqrt(1 - sin^2(2u))
Cos(2u) = - sqrt(1 - (4/5)^2 )
Cos(2u) = -sqrt(1 - 16/25)
cos(2u) = -sqrt(9/25)
cos(2u) = -3/5
Solve for Tan(2u)
tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3
Notes
One: Notice that you would normally rationalize the denominator, but you don't have to in this case. The formulas are such that they perform the rationalizations themselves.
Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)
Three: If you are uncomfortable with the tan, you could do fractions.
Answer:
2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > , 300%
Step-by-step explanation:
Given numbers are,
2.38 × 10², √300, 2⁸, 300%, 6³, 2.16 × 10¹
We have to arrange these numbers in the decreasing order(from greatest to least)
2.38 × 10² = 2.38 × 100 = 238
√300 = 10√3 ≈ 17.32
2⁸ = 256
300% = = 3
6³ = 216
2.16 × 10¹ = 21.6
Therefore, decreasing order (from the greatest to least) will be,
256 > 238 > 216 > 21.6 > 17.32 > 3
2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > , 300%
Solve: 4(6x - 10) = 8x + 40
A 0
B.5/2
c. 23
D. 5
<h3><u>Answer:</u></h3>Option D
The solution to given equation is x = 5
<h3><u>Solution:</u></h3>Given that we have to solve the given equation
4(6x - 10) = 8x + 40
Let us solve the above expression and find value of "x"
Multiplying 4 with terms inside bracket in L.H.S we get,
24x - 40 = 8x + 40
Move the variables to one side and constant terms to other side
24x - 8x = 40 + 40
Combine the like terms,
16x = 80
Thus solution to given equation is x = 5